To test the claim that sons are taller than their fathers on average, a researcher randomly selected 13 fathers who have adult male children. She records the height of both the father and son in inches.
The histograms are:
The histogram for Son's Height and Father's height are skewed.
The boxplots are:
The heights have a greater number of variations for Son's data.
The test to be performed is the independent t-test.
The hypothesis being tested is:
H0: µ1 = µ2
H1: µ1 > µ2
The output is:
Son's Height | Father's Height | |
71.831 | 70.877 | mean |
5.071 | 4.576 | std. dev. |
13 | 13 | n |
24 | df | |
0.9538 | difference (Son's Height - Father's Height) | |
23.3263 | pooled variance | |
4.8297 | pooled std. dev. | |
1.8944 | standard error of difference | |
0 | hypothesized difference | |
0.504 | t | |
.3096 | p-value (one-tailed, upper) |
Since the p-value (0.3096) is greater than the significance level (0.05), we cannot reject the null hypothesis.
Therefore, we have insufficient evidence to conclude that sons are taller than their fathers on average.
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To test the claim that sons are taller than their fathers on average, a researcher randomly...
9. To test the belief that sons are taller than their fathers, a student randomly selects I3 fathers who have adult male children. She records the height of both the father and son in inches and obtains the following data: Height of father, X 70.3 67.1 709 66.8 Height of son, Y 74.1 69.2 669 692 689 70.2 70.4 728 70.4 71.8 一81-9 | 10 | 11 | 12 | 13 Height of father, 70.1 69.9 70.8 70.2 704 724...
To test the belief that sons are taller than their fathers, a student randomly selects 13 fathers who have adult male children. She records the height of both the father and son in inches and obtains the following data. Are sons taller than their fathers? Use the a=0.01 level of significance. Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. Click here to view the table of data....
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To test the belief that sons are taller than their fathers, a student randomly selects 13 fathers who have adult male children. She records the height of both the father and son in inches and obtains the following data. Are sons taller than their fathers? Use the a = 0.05 level of significance. Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. Click the icon to view the...
To test the belief that sons are taller than their fathers, a student ran- domly selects 13 fathers who have adult male children. She records the height (in inches) of both the father and the son in the following table. Are sons taller than their fathers? NOTE: A normal probability plot indicated that the differences (X -Y) are approximately normally distributed with no outliers. 70.4 71.8 70.1 70.2 70.4 69.3 eight of Father, Y eight of Son, X eight of...
To test the belief that sons are taller than their fathers, a student randomly selects 13 fathers who have adult male children. She records the height of both the father and son in inches and obtains the following data. Are sons taller than their fathers? Use the α=0.10 level of significance. Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. Height of Father Height of Son 71.5 ...
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A researcher randomly selects 6 fathers who have adult sons and records the fathers' and sons' heights to obtain the data shown in the table below. Test the claim that sons are taller than their fathers at the alpha equals 0.10α=0.10 level of significance. The normal probability plot and boxplot indicate that the differences are approximately normally distributed with no outliers so the use of a paired t-test is reasonable. Observation 1 2 3 4 5 6 Height of father...
i need the last question. Question Help To test the belief that sons are taller than their fathers, a student randomly selects 13 fathers who have adult male children. She records the height of both the father and son in inches and obtains the following data. Are sons taller than their fathers? Use the x = 0.05 level of significance. Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no...
To test the belief that sons are taller than their fathers, a student randomly selects 13 fathers who have adult male children. She records the height of both the father and son in inches and obtains the following data. Are sons taller than their fathers? Use the a= 0.01 level of significance. Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. Click here to view the table of...